1tf (t)t sgn(t)冲激偶---- 02t二对称特性0f (t)t八时域积分九卷积定理 1时域卷积定理t-3t11
The properties of LTI systems LTI System can be represented by its impulse response , so its properties Memoryless systems Amplifier ,adder, multiplier, …sas2-31Invertible systems sas2-32Causal system
Properties of continuous-time Fourier series ?Linearity If Then All signals must have same period T !sas3-21Linearity sas3-22Time shifting Magnitude will not change, but add a linear phase !sas3-23Ti
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单击此处编辑母版标题样式X第 页jhjh例2-6-3X
例3-2-1求周期锯齿波的三角函数形式的傅里叶级数展开式。周期锯齿波的傅里叶级数展开式为直流基波谐波
单击此处编辑母版标题样式单击此处编辑母版文本样式第二级第三级第四级第五级单击此处编辑母版标题样式单击此处编辑母版文本样式第二级第三级第四级第五级Chapter 2 System in time domain Time invatiance system: Time invariance ----Time variance The system is not changed with time
华中科技大学机械学院信号的时差域相关分析 x(t)自相关函数:x(t)=y(t)(6)两个非同频率的周期信号互不相关案例:自相关测转速X1
X 离散时间系统在时域的数学模型通常用差分方程来表示2. DLTI系统用常系数线性差分方程描述若 T{ x [k] } = y[k]若 T{ x(t) } = y(t)10XXX【例3-3】已知某连续线性非时变系统的动态方程为 y(t) 4y(t) 4y(t) = 2x(t)3x(t) t >0 初始状态为 y(0-) = 2 y(0-) = -1 求
Fourier series and LTI systems ?Time domain inputoutputSystem functionWhen input is periodic , the output is also periodic ! Fourier series and LTI systems ?Frequencydomain TransformFrequency respons
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